Here's some verses that have really encouraged me about research:
"Those who sow in tears will reap with songs of joy." (Psalm 126:5)
"Then he continued, 'Do not be afraid, Daniel. Since the first day that you set your mind to gain understanding and to humble yourself before your God, your words were heard, and I have come in response to them.'" (Daniel 10:12)
"One day as Jesus was standing by the Lake of Gennesaret, with the people crowding around him and listening to the word of God, He saw at the water's edge two boats, left there by the fishermen, who were washing their nets. He got into one of the boats, the one belonging to Simon, and asked him to put out a little from shore. Then He sat down and taught the people from the boat. When He had finished speaking, He said to Simon, 'Put out into deep water, and let down the nets for a catch.'
"Simon answered, 'Master, we've worked hard all night and haven't caught anything. But because you saw so, I will let down the nets.'
"When they had done so, they caught such a large number of fish that their nets began to break. So they signaled their partners in the other boat to come and help them, and they came and filled both boats so full that they began to sink. When Simon Peter saw this, he fell at Jesus' knees and said 'Go away from me, Lord; I am a sinful man!' For he and all his companions were astonished at the catch of fish they had taken, and so were James and John, the sons of Zebedee, Simon's partners. Then Jesus said to Simon, 'Don't be afraid; from now on you will catch men.' So they pulled their boats up on shore, left everything and followed him." (Luke 5:1-11)
"Ask and it will be given to you; seek and you will find; knock and the door will be opened to you." (Matthew 7:7)
"I devoted myself to study and to explore by wisdom all that is done under heaven. What a heavy burden God has laid on men!" (Ecclesiastes 1:13)
"Guard my life, for I am devoted to you. You are my God; save your servant who trusts in you." (Psalm 86:2)
"...the gracious hand of his God was on him. For Ezra had devoted himself to the study and observance of the Law of the Lord, and to teaching its decrees and laws in Israel." (Ezra 7:9b-10)
"Artaxerxes, king of kings, To Ezra the priest, a teacher of the Law of the God of heaven: Greetings." (Ezra 7:12)
"Cast your bread upon the waters, for after many days you will find it again." (Ecclesiastes 11:1)
"...Of making many books there is no end, and much study wearies the body." (Ecclesiastes 12:12)
"Sow for yourselves righteousness, reap the fruit of unfailing love, and break up your unplowed ground; for it is time to seek the Lord, until He comes and showers righteousness on you." (Hosea 10:12)
"Oh, that their hearts would be inclined to fear me and keep all my commands always, so that it might go well with them and their children forever!" (Deuteronomy 5:29)
"David, wearing a linen ephod, danced before the Lord with all his might" (2 Samuel 6:14)
"Whatever your hand finds to do, do it with all your might, for in the grave, where you are going, there is neither working nor planning nor knowledge nor wisdom." (Ecclesiastes 9:10)
"So the decree was issued to put the wise men to death, and men were sent to look for Daniel and his friends to put them to death. When Arioch, the commander of the king's guard, had gone out to put to death the wise men of Babylon, Daniel spoke to him with wisdom and tact. He asked the king's officer, "Why did the king issue such a harsh decree?" Arioch then explained the matter to Daniel. At this, Daniel went in to the king and asked for time, so that he might interpret the dream for him. Then Daniel returned to his house and explained the matter to his friends Hananiah, Mishael and Azariah. He urged them to plead for mercy from the God of heaven concerning this mystery, so that he and his friends might not be executed with the rest of the wise men of Babylon. During the night the mystery was revealed to Daniel in a vision. Then Daniel praised the God of heaven and said: "Praise be to the name of God for ever and ever; wisdom and power are His. He changes times and seasons; he sets up kings and deposes them. He gives wisdom to the wise and knowledge to the discerning. He reveals deep and hidden things; He knows what lies in darkness, and light dwells with Him. I thank and praise you, O God of my fathers: You have given me wisdom and power, you have made known to me what we asked of you, you have made known to us the dream of the king."
"I know that you can do all things; no plan of yours can be thwarted." (Job 42:2)
"Do you know how the clouds hang poised, those wonders of him who is perfect in knowledge?" (Job 37:16)
"As you do not know the path of the wind, or how the body is formed in a mother's womb, so you cannot understand the work of God, the Maker of all things." (Ecclesiastes 11:5)
"Do not boast about tomorrow, for you do not know what a day may bring forth." (Proverb 27:1)